25154935164 has 288 divisors, whose sum is σ = 70733295360. Its totient is φ = 7509888000.

The previous prime is 25154935163. The next prime is 25154935171. The reversal of 25154935164 is 46153945152.

It is a happy number.

25154935164 is a `hidden beast` number, since 2 + 51 + 5 + 493 + 51 + 64 = 666.

It is a super-3 number, since 3×25154935164³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25154935163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235092799 + ... + 235092905.

It is an arithmetic number, because the mean of its divisors is an integer number (245601720).

Almost surely, 2^25154935164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25154935164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35366647680).

25154935164 is an abundant number, since it is smaller than the sum of its proper divisors (45578360196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25154935164 is a wasteful number, since it uses less digits than its factorization.

25154935164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 356 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 25154935164 in words is "twenty-five billion, one hundred fifty-four million, nine hundred thirty-five thousand, one hundred sixty-four".